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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Feshbach projection formalism for open quantum systems.

Dariusz Chruściński¹, Andrzej Kossakowski

¹Institute of Physics, Nicolaus Copernicus University, Grudziadzka 5, 87-100 Torun, Poland.

Physical Review Letters

|August 20, 2013

Summary

We introduce a novel Feshbach projection method for open quantum systems, offering a new way to model quantum evolution. This approach accurately captures complex dynamics, including counterrotating terms, which significantly alter system behavior.

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Area of Science:

Quantum Physics
Open Quantum Systems

Background:

Standard methods for open quantum systems often rely on master equations for density operators.
The Nakajima-Zwanzig method is a common approach but has limitations in handling approximations.
Understanding quantum evolution in the presence of environmental interactions is crucial.

Purpose of the Study:

To develop a new theoretical framework for describing open quantum systems.
To provide a method for constructing legitimate quantum evolutions (completely positive and trace preserving).
To investigate the impact of counterrotating terms in quantum models.

Main Methods:

Utilizing the Feshbach projection method.
Deriving equations for the evolution in the Hilbert space of amplitude operators.
Applying the new scheme to the spin-boson model beyond the rotating wave approximation.

Main Results:

A new approach to open quantum systems based on Feshbach projection is presented.
The method yields legitimate quantum evolution, ensuring physical consistency.
Consistent approximations can be systematically derived within this framework.
The spin-boson model analysis reveals significant effects of counterrotating terms on asymptotic evolution.

Conclusions:

The Feshbach projection method offers a robust alternative for studying open quantum systems.
This approach correctly handles complex quantum dynamics, including non-Markovian effects.
Counterrotating terms play a critical role in the long-term behavior of quantum systems.